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Finding the Third Proportional to 21,269 and 32,993

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Solution

The third proportional to 21,269 and 32,993 is: 51,179.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,269 : 32,993 = 32,993 : x
  2. Step 2: Convert to fraction form
    21,269/32,993 = 32,993/x
  3. Step 3: Cross multiply
    21,269x = 32,993 × 32,993
  4. Step 4: Simplify right side
    21,269x = 1,088,538,049
  5. Step 5: Solve for x
    x = 1,088,538,049/21,269
  6. Step 6: Final answer
    x = 51,179.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.